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What is the Least Common Multiple of 95371 and 95387?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 95371 and 95387 is 9097153577.

LCM(95371,95387) = 9097153577

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Least Common Multiple of 95371 and 95387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95371 and 95387, than apply into the LCM equation.

GCF(95371,95387) = 1
LCM(95371,95387) = ( 95371 × 95387) / 1
LCM(95371,95387) = 9097153577 / 1
LCM(95371,95387) = 9097153577

Least Common Multiple (LCM) of 95371 and 95387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95371 and 95387. First we will calculate the prime factors of 95371 and 95387.

Prime Factorization of 95371

Prime factors of 95371 are 283, 337. Prime factorization of 95371 in exponential form is:

95371 = 2831 × 3371

Prime Factorization of 95387

Prime factors of 95387 are 17, 31, 181. Prime factorization of 95387 in exponential form is:

95387 = 171 × 311 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 95371 and 95387.

LCM(95371,95387) = 2831 × 3371 × 171 × 311 × 1811
LCM(95371,95387) = 9097153577